first questions question number 51 how to solve this type of questions questions if you take 12 common buses will be one then double one triple one graph one in challah systems to infinity then your equations will be how much then your equations will be how much very similar to that 12 by 9 , then comes the middle nine double nine triple nine and so on so that will be twelve times nine in nine a gamma hanging over ten minus one ninety nine will be one hundred minus one this will be one thousand minus one and so now will come how much twelve times nine real assembly is twelve times nine then the next number ten hundred thousand scissors that can go to the group called ten then ten gross square ten row q irrelevant infinite terms then minus one minus one minus one to try to introduce minus one which is minus ml so it will be twelve times nine Italian g p s n formula a whole in r to the power n minus one times r minus one minus n then this is how much 12 times 9 10 integer in ten to the power m minus one minus nine n thin cutler thin thin cutlachari chari by sattais try guessing another example I'm giving is a catchy 12-12 guess questions like I do five minus n minus n you want to put everything in it r to the power n minus 1 which is negative 1 then minus 9 n times seven triple seventy makes seven times nine something here a number is constantly changing 87 times nine five and nine and so on hello any 52 find last find smallest number when divided by 2 3 4 5 and 6 list reminder leaves remainder 1 but when divided by seven it leaves no remainder in the process two three four five six three divisible first objective shots lcm lcm of two three four five six l similar sixty question koji two three four five six three divided a river reminder seven a murderer divided remainder ivana that means 60 is the smallest number that is divisible by 2 3 4 5 and 6 60 is divisible but we need a remainder 1 s i 60 is divisible by these numbers so all multiples of 60 i am writing ting 60 k means 16 to 1 16 to 2 16 to 3 all these numbers are divisible by these numbers but we need a remainder one plus one probably this is our plus one format for material a number now 56k which is divisible by 7 definitely whatever the value of k may be this is your target 4k plus 1 2 7 divisible h there are many values available but you are asked to find the smallest among them to find the smallest among them five neglect four in five twenty plus one twenty is divisible by seven so take a minimum value five five for batches of values there is also a minimum value available but our number is not k our number is 60 k plus one k jagger five 16 to 5 plus 1 which is 3 not 1 answer d yellow day process second process subhasa khalas zero one is divisible by seven number he makes seven individual right so that's option d is the correct answer ok next zeeba 53 on the sum of three dimensions which second is ok if the sum of three dimensions and the total surface area of a rectangular box are 12 or 94 sum of three dimensions sum of three dimensions means length plus width plus height given 12 and total surface area of rectangular box total surface area formula two integer in l b plus b h plus l s given how much given that that is given ninety-four l plus b plus h given two holland 200 lb plus bh plus ls is given 94 then asked to find the length of a stick length that can be placed within the maximum length means diagonal asked to find l squared plus b squared plus h squared plus 2 integer in lb plus bh plus lh this is given 12 12 squared 144 equals l squared plus v squared plus l h s squared probable plus this is also given ninety-four given the lambda l squared plus b squared plus h squared 144 minus 94 l squared maximum length of a stick that can be placed inside the box but a box around the maximum length as a diagonal from bottom to top diagonal to the maximum square plus b square plus h square root of s next question 54 the vertical the angles of a circular cone straight is 90 degrees the vertical angle of a circular nucleus right an angle an angle of 90 degrees this is 45 this is also 45 an angle of 90 degrees which are the vertical angles of 45 degrees so here 45 this is 90 obviously 45 hours of slant height is 12 this is given 12. so its volume comes how much counts from the slant hydra formula i don't like this so root 2 in a equals 12 so it comes to 12 times root 2 12 times root 2 j k that's like the ray 36 in 2 72 so h l option c is the correct answer ah comments karkonochi ok next question number 55. the ratio of the seventh to the third term of one fp is twelve is to five find the ratio of the thirteenth to the fourth term ratio of the seven Timo to the third seventh term of formula a plus six d divided by a plus two d which gives 12 times 5 cross cardio 5 plus 30 d equals 12 plus 24 d the final america piloted because 7 a equals 6 d 7 equals a six d pagoda masala question find the ratio of the thirteenth term to the fourth term thirteen nth terminal coda a plus twelve d 15 ok next question number 56 the fourth term of an ap is equal to three times the first term fourth term means a plus three d fourth term of an ap is equal to three times the first term three a the a form that we have here two a equals three d you have the relation a a equals three d seventh term exceed twice the third term seventh term means a plus six d seven term twice exceed the third term by one means seven term equals two of the third term the third term is a plus two d plus one find the first term and the common difference asia a plus six d i am a conqueror look at the a plus six days equal to two plus four d raila 4 in d d hello market no 2 for 3 plus 1 solve kardala you come to how much three comes to as your three d as you are one ds you are two and the result will be the option three and two common graphically all are correct very good next question 57 the sum of five numbers in ap sum of the square is 220 which of the following is the greatest number pasta number number nla then the right side a plus d the next is a plus a plus d a plus two d a minus d a minus two d then the sum of the things I add color thirty sli then d d then cortisone normally five a equals 30 a is coming 6 margin number timer definitely 16 by l darker which of the following is the largest number is the second statement called the sum of its squares sum of squares 1 to minus 2 d rho squared then to minus d rho squared then a squared then a plus d squared plus to plus 2 d squared so misc ok solve the cap a d pi d variable which of the following is the largest foreign number that will be easiest for you okay two four six eight ten penta thickness pen thickness given the next question number 58 the the sum of an infinite g p with positive terms is 48 the sum of its last 2 terms is 36 find the second term the sum of an infinite series gpu with positive terms 48 lekhage some of its two quick terms 36 the first two terms 36 money a plus a r a plus a r is given as this is given 36. sum of an infinite gpu the positive terms of 48 and the sum of its two previous terms find the second terms a plus a r which is 36 age the common number one plus oracle 36 infinite term formula number infinite term formula a times 1 minus r than a for 1 minus r what infinity term can I currently put a for 1 minus r given here how much 48 then you can find the second term will come how much the second term will come the second number vend rá a option a means that 12 is the correct answer below chalo juba number 59 find the gm of 4 9 and 160 nine by nine gm geometric mineral formula in root beer over four by nine in 169 by nine or root over four root over two negalay one sixty-nine rho g thirteen then double line the root over 9 result 26 by 9 option c kunal if there is any particular formula for the diagonal of the cube yes diagonal of the cuboid or formula the pocket places the root over l squared plus b squared plus h square usual diagonal formula cuboidal then kubrow diagonal formula that's the root of three on two sides and cubra sodala's cube diagram formula next next challenge question number 15 number 15 60. so before we argue 60 can i 59 questions to 1 in 2 in 3 in 4 in 5 constant number to multiply kardala keep the mean of all natural numbers find the geometric mean of all natural numbers the simple questions are n thus congruent then a geometric mean of all natural numbers means one in two in three in four allah up to n integer raised to the power 1 times n this is the geometric mean of all natural numbers thus three three squared three to the power three three to the power four point point point point three to the power mean motor energy 3 to the power 1 3 to the power 2 3 to the power 3 to 3 to the power n formula n in n plus one times two yellow formula to the power punch one by nan an an cortigala finally this is coming home hams 3 to the n power plus 1 by 2 3 to the n power plus 1 that was the correct answer and mount that the parikhara parallel the 3 in 3 in 3 in three like this three to the n power plus one times two problem seven in seven seven squared seven q seven to the n power formula first last multiply curry 26 by 9 ok next number 60 find the value of this seven eight minus two three very easy questions simple cross multiplication kardia sat there equals minus minus two in eight minus two in eight like then a minus sixteen minus minus plus comes the regular result thirty-seven answer comes 37 tk someone else yes foreign cofactor minus 1 to the power of i plus j so is minus one to the power of one plus two then less than eight less than eight k k bodily breakdown minus two biology it minus 2 minus 1 to the power of odd number minus 1 of the odd number ultimately minus your minus 1 minus 2, finally, your answer get to 61 a equals a given b given find a plus 2 b a plus 2 b a which is 3 a b a then the number 2 multiplied 5 by 2 which is minus 10 then dodge top is zero two in two hella four minus three plus three in two e lla six out of four 4 then minus ayala minus 3 in 12 minus 6 comes a result how much a plus 2 b a plus 2 b minus 10 hour result minus 10 hour then 3 minus 10 0 plus 4 this is minus 3 plus eruption minus 3 plus 6 then 4 minus 6 minus 7 4 this is 3 this is minus 2 option b 61 option b next jiba no problem for that give us 62 questions in a class there are 40 students 12 play only soccer 15 play career soccer play only cricket if all students play at least one game, how many students play the games? 40 charizard students in a class 40 students 12 play only soccer absolutely correct ok your next question number 63 if a set has five elements find the number of soft sets that contain at least four elements at least four elements like this that at least four elements money I am a plastic I said query paragraph or graph I said with at least four elements managed 6 is the correct answer option d 6 is the correct answer 63d sohola arun kumar vera sohola 64. question number 64 the largest number that should divide 4391 183 to leave the same remainder previous questions today return to has five elements if a set has five elements find this cardinality power cardinality set of a yellow formula power cardinality set of error formulas set theory 2 to the n power past element 2 to the power 5 that comes 32 2 to the power n minus 1 not empty 140 35 form comes 4 r answer comes d 64 answer d number 65 the product of two numbers is 2 0 to 8 and the rescf is 13 the number of search pairs is dash scf 13 means the first number takes 13x the second number is 13y its product 13x in 13y which is given 2 0 2 8 x and is 2 0 2 8 times 13 divide the curve by 13 double thirteen h 13 by thirteen two zero two eight times the product of two numbers multiplication option one one twelve three four yes sixty-five one tikachi is well very well they are all correct following question number 66 when selling 18 pins a person loses the sale price of two foreign pens so here the answer comes only ten one hundred two for twenty in one hundred which is ten percent ten percent achieve the option b aslan sarkar yes yes all are correct next challenge number 67 the smallest number that is a perfect square and is divisible by each of the following numbers ok lcm nova 16 twenty four two won ketasala art two bar doi chop chari a very good next juba room movement consultation by 68 fast under channel 68 sum of two number is 36 and its hcf and lcm are three and one zero five sum of the reciprocal of the numbers sum of two number thirty-six s to four g three s f three minor goten number three x would have about three and because s f is given three its lsm is given how much one zero five sum of the reciprocals one times three x one times the sum of two number thirty-six as I see the means three x plus three and thirty-six am i x plus y l bar x plus y pi l bar then sum of the reciprocal money one times three x plus one times three y y pachara three x plus three and this comes how many three common l x plus y x plus y bar of pi x y product of two numbers in number 3x second number 3y 36.3 x plus 3y 36 x plus sql in 12. okay sum of the reciprocal of two number one one times three x one times three times pachala week threex plus y eight bulgardal elsi masala three integers in x plus and then x y rate of y plus x like yellow y plus x d i j twelve like that two l then three x y 3 in xy xy xy product of two numbers equal to scf in lcm product of two numbers that are formed in lcm then the product of two numbers manage 3x in 3y equal to scap in lcm hcf h3 3x in 3y equal to 3 in 105 3 3 cancel then our x and comes how much a three which is the result comes 4 times 35 the option c is the correct answer the number is 3x in 3y not x and y over the next juba number 69 x square plus ax plus bj perfect square then which of the following will be the relationships between a and b a square plus an ax plus b even a table of squares perfect a format of perfect square to square plus two a square equals forbico observation option b is the correct answer ok ay the next question number 70 in an election between two candidates ten percent of voters did not cast their votes on twenty e percent of the poll votes were declared invalid that's 40 correct 40 percent is right yes the next question number 70 one even though a salesperson's commissions increase from four percent to five percentage of revenue remains unchanged equal to difference by original difference by new difference by nu in 200 difference account four percent commission there five percenthella differential of one by new null of five one by five in his business was 100 commission was five percent commission minister revenue income tax four percent one hundred rupees four percent of four rupees x income remains unchanged so write down five percent of x equal to any question kara comments yes no comments 72 the difference between compound simple interest five percent three years given find the principle formulation principle difference in 200 q divided by r squared keeping 300 plus r is three years different ence with direct formula difference is given 244 100 100 100 r squared r squared is given 25 in 3 0 5 buy cotyledon principle equal difference all in 100 by r squared 73 25 men can finish a job in 40 days after 30 days five men left tires 12.58 coming 2.5 not 12.5 ok next question two years of formula number 74 when a person travels a certain distance four fifths of his usual applicable early or late integer divided by a difference a speed reverse sooner or later integer divided by a difference an inverse difference in speed speed up four times five voltage 75 find the time it takes a train of insulating length to cross a person walking in the opposite direction six kilometers per hour while the speed of the train is given easy question a relative formula time per second this is 300 divided by 54 in patch authorizing question 76 of a pack of cards is e xdraw two cards find the probability of at least one in our card at least 36 c2 by 52 c2 36 in 35 52 in 51 number 77 find the probability of ordering the letters of the form of the word where the vowels are always together foreign option b option b is the correct answer next question 78 the average of 28 numbers is 77 the first 14 number 74 the average of the last 15 numbers 84 Number 14 is excluded, so what is the average of the remaining numbers?

How does the answer of the fourteen numbers come? six seven six xy is divisible by tini satyagara so what is the value of 3x minus 5y what is the value of 3x minus 5y x 231 462 462 so 6 minus 2 comes how much 4 then 7 minus 6 comes 1 d you can easily find out x and then by the number 80 a secondary keeper ends 11 percent after allowing an 11 percent discount 100 is 211 option errors our discount line on the tv 9 delete the next number 82 the value of 20 foreign both x minus 2 and x minus half are factors of this then find the relationship between x minus y the factor squared plus 5 in 2 plus b equals 0 a result of 4 a plus 10 plus b equals zero then four a plus b equals minus ten equation one good next cell algebra one times four plus 5 half plus b equals 0 then comes the result how much a times 4 plus b equals minus 5 times 2 equation 2 then i am a concrete question equation number 84 x minus 5 divide this no rest enc find the value of k without remainder remainder zero however kali a t x jaggery one put the equation k x q k in a row cube minus 2 into 1 gross square 25 into 1 minus 26 equals 0 k minus 2 plus buy minus cut bc equals 0 option c next divided t5 two polynomials this this leaves the same remainder when divided by x minus three equaling the x minus three table zero zero x equals put cardio three 2 into 3 the q plus a into 3 squared plus 4 into 3 minus 12 equals the second equation 70 x there is q plus 3 ra squared 2 in 3 plus a solves the delay comes how much less 3 will come to will be less 3 that is option number d any comment kai sal karnagi 85 d yes next salo jiba question number 86 what will it be the reminder when x to the power 2 0 to 2 plus 2 0 2 2 divided by x plus 1 x plus 1 times 0 minus 1 minus 1 to the power of 2 0 2 2 plus 2 0 2 2 minus 1 to the power even number j plus 1 l plus 1 plus 2 0 2 2 result 2 0 2 3 2 0 2 3 option the next product of the roots of the equations s is four find m man product of alpha roots in beta minus mq times 2 equals t or catalytic h and f4 so minus m q r a m q minus r m comes minus 2 choice d 87 answer d next 88 the sum of the roots of the equations is 0 find p sum of roots alpha plus beta formula was minus b times a alpha plus beta minus b times a what is given how much given sum of roots given 0 minus b minus p plus 4 plus a little p plus 4 times a hella 1 equals 0 p plus 4 0 p esl minus 4 minus 4 option b is the correct answer 88b next diva 89 questions 87 d88b question number 89 47 to 47 times 2 to the power 3 5 to the power 2 will end after how many places here the formula circle the formula divided by two to the power three five to the power three two to the power three five to the power three minus zero katara produce from the tinderbox zero producer that means after three decimal places the number will end end one end answer receive option b next 90 alpha and beta are the roots of this equation find the equation whose roots are whose roots are question 1 1 for alpha and 1 for beta will be the questions love equation of x squared minus sum of roots between roots 1 for alpha 1 for probable beta 1 by alpha plus 1 by beta in x plus alpha beta means 1 by alpha in 1 by beta equals 0 so x squared minus finally comes the answer 6 x squared to minus minus plus angle of 4 x plus 1 equals 0 6 x squared plus 4 x plus 1 equals 0 option a is the correct number asla some comment yes very well ninety-one kujiba if the sum and the product of the roots are equal the sum and the product of the panel of roots alpha plus beta equal to alpha beta the sum and product of the roots are equal then find the value of minus three p so i check plus beta alpha plus beta h minus b times a minus two p comes minus 2 times 3 psl minus 2 times 3 questions computer camera minus 3 p minus 3 in minus 2 by 3 courteous response 2 opt ion b hello option b is the correct answer next question question number 92 what is the highest integral value of k for which the equations will have real and distinct real roots and distinct real and distinguished roots in this d is greater than zero distinction are different distinctions different the real and equal the conditional d equals zero d greater than zero zero hi e b squared minus four c a greater than zero minus 6 minus 6 0 squared minus 4 1 greater than zero minus 4 k greater than minus 36 minus 4 k greater than minus 36 greater than symbol less than symbol for the number probable minus 5 definitely greater than minus 12 is correct minus 5 greater than minus 12 correct so the minus sign minus height greater than 12 5 less than 12 format ether the minus here next 94 if half pj roots of the equations then find the value of k same square process plus k in half a is the correct answer any comment 94 not given next question 9 5 the probability that a wins a match seven times nine and that b has eleven times fifteen find the probability that at least one of them wins agree sorry 127 by 135 option a 127 by 135 yes option a is the correct answer giv is 96 question toss a coin three times find the probability that at least one says lot one times eight is the next correct answer 97 toss a dice twice twice banana 36 liquid find the probability of all odd outcomes all of our money first number toward bodybuilder second or one one one three one five 8 c 2 3 c 2 times 8 c 2 3 into 2 divided by 8 into 7 ok next 99 find degree of polynomial next last question number 100 beta minus alpha beta etc alpha beta and aj by lcm alpha plus beta minus alpha beta alpha plus beta j minus b by a minus minus 4 alpha beta of the c by a minus then alpha beta which is c by an adapter plus four angle plus four minus one this comes t res option a is the correct answer ok one hundred number eight so how both 50 questions are advanced level there is no arithmetic and the chapters are polythela you all know i am again remembering number systems then i form lsm polynomial statistics, odds, pgp etc, no questions asked. coming from ari arithmetic sections 2019 questions 2019 questions ray 78 questions seven or eight questions come from arithmetic sections the maximum expected questions come from advanced sections there is less chance of questions coming from arithmetic sections 2015 arithmetic 2019 means you give more emphasis to it to advanced section another section means mostly chapters are probabilities probability prepare program then polynomials then comes your fpgp then statistics determinants matrix bliss theory number systems menstruation in palestine these are the important chapters that should be covered by the following math math collaborative reasoning mostly just skip questions circle round left side circle and continue with next questions ok thank you very much and all the best for your next exams again we can meet yout classes aso questions ## discussion

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